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Finding the Fourth Proportional to 8,045.75, 12,064.50 and 3,364.48

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Solution

The fourth proportional to 8,045.75, 12,064.50 and 3,364.48 is: 5,044.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045.75 : 12,064.50 = 3,364.48 : x
  2. Step 2: Convert to fraction form
    8,045.75/12,064.50 = 3,364.48/x
  3. Step 3: Cross multiply
    8,045.75x = 12,064.50 × 3,364.48
  4. Step 4: Simplify right side
    8,045.75x = 40,590,708.64
  5. Step 5: Solve for x
    x = 40,590,708.64/8,045.75
  6. Step 6: Final answer
    x = 5,044.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.